Polynomial Equations over Matices.

File(s)
Date
2009-04Author
Hellenbrand, Kaitlyn
Advisor(s)
Duffy, Colleen M.
Metadata
Show full item recordAbstract
If we are given an n-th degree polynomial over the complex numbers, we know that it has exactly n solutions. However, this is not true for an n-th degree polynomial over matrices. The difference in the two cases is that multiplication of matices is not commutative (AB does not equal BA) and not all matrices are invertible. The question then becomes: how many solutions can exist?
Subject
Matrices
Polynomials
Posters
Permanent Link
http://digital.library.wisc.edu/1793/36588Description
Color poster with text and equations.